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  • Worksheet - P3 - Logarithm and Exponential Question.pdf

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Sama

hey!! was wondering, what type of graphic tablet do you use?

kushi

for q18 isnt it supposed to be e^x - e^-x but you did +

Abdur rahman

hey jacob, for q19 why did you multiply e^x to the 4(e^x)+4 ? cuz we already have a e^2x after simplifying.

Abdur rahman

oh but i just made e^-x to 1/e^x and in that way u get rid or e^-x and get e^2x plus 1. Basically the same thing you did except the multi of e^x. anyway i kinda did get the correct ans but its positive instead of -ve.

Intuitive

As long as it makes sense mathematical you're good. Remember "e^-x" is "1/e^x" same thing.

Abdur rahman

and lastly is there any other way to do this question?

Abdur rahman

like other than multiplying with e^x

Intuitive

I'm just simplifying the expression by multiplying through by the denominator? I think because it involves e^x which confuses you, if the expression was this instead "x + 1/x = 4x + 4", then simplifying this would be easier for you?

Abdur rahman

Yup looks a lot easier now. i see, you just have view it at a simpler angle Aight got it. Thanks jacob. Sick worksheets btw.

Jahnavi Anand

This video is everything; I tried revising logs using the textbook but it confused me more and your video cleared up and simplified everything:) this subscription has officially been my best investment to date

Adam El Khachani

hey, i was wondering whether you could update the worksheet for 2023? since the latest exercises in the worksheet are from 2020

Ines

Hi, this could just be me, but I’m not seeing the log/exponential question video. Instead it’s the differentiation video with the log/exponential title. :)

Intuitive

Really? So no log/exponential question? Are you watching on you pc or phone just out of interest.

Intuitive

I’ve recently upgraded all my videos to make them exclusive to patreon. So it’s actually really helpful when people point things like this out.

Ines

It seems to be working well now, I can see the log/exponential video. Thank you!

MARCO

Can I have the music you used in this video

Ally A

Hey man idk if I'm tripping or what, but I think you made a mistake in question 10. You wrote e^x, but isn't it supposed to be e^2x?

Intuitive

I just checked. Ummm I see no mistake are you talking about the end of question 10 (a)? Cause I just multiplied through by e^x, then simplified, then multiplied by e^x again.

Ally A

Uh no I'm talking about 10 (b). You wrote u = e^2x but then you later used u = e^x. Is that a mistake, or am I just dumb idrk

Mohammad

This worksheet was done amazingly.... The way you progress through out the worksheet is so smooth. appreciate it man.

good boy

hello just want to ask which is the chapter where you need to sketch exponential graphs? or is it not included anymore...

Intuitive

I've barely seen it. The only place I have seen the sketching of graphs such as e^x and ln(x) is in the numerical solutions question. So have a look at that. You should know the basic shapes of these graphs but it's pretty minor.

Rramb

Hello thx alot for the videos .. just wanted to ask about the last question . I tried solving it by doing u=e^x . From the begining . That's simplifies everything . And got the same answer .

lamia billah

hey, instead of taking logs on both sides, are we allowed to just plug it in the bases so we get the direct value e.g 2e^2x=5 can be directly written as 2x= ln5/2 without taking logs on both sides

lamia billah

thank you sm for the videos btw!! youre the reason im gonna ace ❤️❤️🐐

Intuitive

Yes I guess that works but I would recommend always taking logs for practice when you encounter equations of higher complexity.